Regular and exponential convergence of difference schemes for the heat-conduction equation

DOI10.1016/S0898-1221(99)00262-XzbMath0945.65097OpenAlexW2092380438MaRDI QIDQ1972464

István Faragó

Publication date: 5 October 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(99)00262-x

zbMATH Keywords

eigenvaluefinite difference methodexponential convergenceheat-conduction equationregular convergenceGalerkin linear finite element method

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

• Unnamed Item
• Galerkin finite element methods for parabolic problems
• Finite difference methods (Part 1). Solution of equations in \(R^ n\) (Part 1)
• Qualitative properties of the numerical solution of linear parabolic problems with nonhomogeneous boundary conditions
• Preserving concavity in initial-boundary value problems of parabolic type and in its numerical solution
• Stability theory of difference schemes and iterative methods

This page was built for publication: Regular and exponential convergence of difference schemes for the heat-conduction equation